Fraction × Fraction

Grade 5 · fractions · 51 practice problems · read aloud

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Multiplying Fractions ✖️

Multiplying fractions is a way to find a part of a part! It's super useful for real-life situations like figuring out how much pizza is left if you eat half of a half, or calculating areas of rooms and gardens.

How to Multiply Fractions

  1. Multiply the numerators (the top numbers).
  2. Multiply the denominators (the bottom numbers).
  3. Simplify your answer to its lowest terms.

Let's See It In Action!

Example 1: ½ × ¼

1. Multiply numerators: 1 × 1 = 1

2. Multiply denominators: 2 × 4 = 8

3. Put it together: ⅛

So, half of a quarter is one-eighth! 🍕

Example 2: ⅔ × ⅗

1. Numerators: 2 × 3 = 6

2. Denominators: 3 × 5 = 15

3. We get ⁶⁄₁₅, which simplifies to ⅖ (dividing top and bottom by 3).

Watch Out! 🚨 Common Mistakes

Don't find a common denominator! Unlike adding fractions, you do NOT need common denominators for multiplication. Just multiply straight across.

Remember to simplify! Always check if your answer can be reduced to smaller numbers. For example, ²⁄₄ should be simplified to ½.

Tips & Tricks

MAD Scientist: Multiply Across (the top), then Across (the bottom).

Simplify as you go: Before you multiply, see if you can cancel any numbers from the top and bottom. For ⅔ × ¾, you can cancel a 3 from the top and bottom, making it ²⁄₁ × ¼ = ²⁄₄ = ½. Much easier!

Time to Practice!

  • Start with simple problems like ½ × ½ or ¼ × ⅓.
  • Draw pictures! Shade in parts of rectangles to see the multiplication in action.
  • Try these: ¾ × ⅔ | ⅘ × ½ | ⅚ × ⅖. Remember to simplify your answers!

Practice problems

6 of the 51, worked through step by step — try them before opening the answer.

1 3/4 × 5/7 = ?

Hint: When multiplying fractions, multiply the numerators together and the denominators together. For example, to multiply 2/3 × 3/5, you would multiply 2 × 3 for the numerator and 3 × 5 for the denominator.

Show the answer

Answer: 15/28

  1. Multiply the numerators: 3 × 5 = 15
  2. Multiply the denominators: 4 × 7 = 28
  3. Combine the results to form the product fraction: 15/28
  4. Check if the fraction can be simplified. The greatest common factor of 15 and 28 is 1, so 15/28 is already in simplest form.

The answer is 15/28.

2 7/8 × 4/9 = ?

Hint: When multiplying fractions, multiply the numerators together and the denominators together. For example, to multiply 2/3 × 3/5, you would multiply 2 × 3 for the numerator and 3 × 5 for the denominator.

Show the answer

Answer: 7/18

  1. Multiply the numerators: 7 × 4 = 28
  2. Multiply the denominators: 8 × 9 = 72
  3. Combine the results to form the product fraction: 28/72
  4. Simplify the fraction by finding the greatest common factor of 28 and 72, which is 4
  5. Divide both numerator and denominator by 4: 28 ÷ 4 = 7, 72 ÷ 4 = 18
  6. The simplified fraction is 7/18

The answer is 7/18.

3 3/5 × 7/9 = ?

Hint: When multiplying fractions, multiply the numerators together and the denominators together. For example, to multiply 2/3 × 4/5, you would multiply 2 × 4 for the numerator and 3 × 5 for the denominator.

Show the answer

Answer: 7/15

  1. Multiply the numerators: 3 × 7 = 21
  2. Multiply the denominators: 5 × 9 = 45
  3. Combine the results to form the product fraction: 21/45
  4. Simplify the fraction by finding the greatest common factor of 21 and 45, which is 3
  5. Divide both numerator and denominator by 3: 21 ÷ 3 = 7, 45 ÷ 3 = 15
  6. The simplified fraction is 7/15

The answer is 7/15.

4 3/7 × 5/9 = ?

Hint: When multiplying fractions, multiply the numerators together and the denominators together. Then simplify the resulting fraction if possible.

Show the answer

Answer: 5/21

  1. Multiply the numerators: 3 × 5 = 15
  2. Multiply the denominators: 7 × 9 = 63
  3. Combine the results to form the product fraction: 15/63
  4. Simplify the fraction by finding the greatest common factor of 15 and 63, which is 3
  5. Divide both numerator and denominator by 3: 15 ÷ 3 = 5, 63 ÷ 3 = 21
  6. The simplified fraction is 5/21

The answer is 5/21.

5 1/6 × 4/1 = ?

Hint: When multiplying fractions, multiply the numerators together and the denominators together. Then simplify the result if possible.

Show the answer

Answer: 2/3

  1. Multiply the numerators: 1 × 4 = 4
  2. Multiply the denominators: 6 × 1 = 6
  3. Combine the results to form the product fraction: 4/6
  4. Simplify the fraction by finding the greatest common factor of 4 and 6, which is 2
  5. Divide both numerator and denominator by 2: 4 ÷ 2 = 2, 6 ÷ 2 = 3
  6. The simplified fraction is 2/3

The answer is 2/3.

6 7/9 × 8/11 = ?

Hint: When multiplying fractions, multiply the numerators together and the denominators together. For example, to multiply 3/5 × 4/7, you would multiply 3 × 4 for the numerator and 5 × 7 for the denominator.

Show the answer

Answer: 56/99

  1. Multiply the numerators: 7 × 8 = 56
  2. Multiply the denominators: 9 × 11 = 99
  3. Combine the results to form the product fraction: 56/99
  4. Check if the fraction can be simplified. The greatest common factor of 56 and 99 is 1, so 56/99 is already in simplest form.

The answer is 56/99.

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